Entanglement-Assisted Quantum Convolutional Coding

Details Entanglement-Assisted Quantum Convolutional Coding Entanglement-Assisted Quantum Convolutional Coding

2007-12-13

arxiv.org/abs/0712.2223v4

Physical Review A 81, 042333 (2010)

Physics

Quantum Physics

Accepted for publication in Physical Review A

Scientific paper

10.1103/PhysRevA.81.042333

We show how to protect a stream of quantum information from decoherence induced by a noisy quantum communication channel. We exploit preshared entanglement and a convolutional coding structure to develop a theory of entanglement-assisted quantum convolutional coding. Our construction produces a Calderbank-Shor-Steane (CSS) entanglement-assisted quantum convolutional code from two arbitrary classical binary convolutional codes. The rate and error-correcting properties of the classical convolutional codes directly determine the corresponding properties of the resulting entanglement-assisted quantum convolutional code. We explain how to encode our CSS entanglement-assisted quantum convolutional codes starting from a stream of information qubits, ancilla qubits, and shared entangled bits.

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